Highest Common Factor of 718, 515, 796 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 718, 515, 796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 718, 515, 796 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 718, 515, 796 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 718, 515, 796 is 1.

HCF(718, 515, 796) = 1

HCF of 718, 515, 796 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 718, 515, 796 is 1.

Highest Common Factor of 718,515,796 using Euclid's algorithm

Highest Common Factor of 718,515,796 is 1

Step 1: Since 718 > 515, we apply the division lemma to 718 and 515, to get

718 = 515 x 1 + 203

Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 203 and 515, to get

515 = 203 x 2 + 109

Step 3: We consider the new divisor 203 and the new remainder 109, and apply the division lemma to get

203 = 109 x 1 + 94

We consider the new divisor 109 and the new remainder 94,and apply the division lemma to get

109 = 94 x 1 + 15

We consider the new divisor 94 and the new remainder 15,and apply the division lemma to get

94 = 15 x 6 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 718 and 515 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(94,15) = HCF(109,94) = HCF(203,109) = HCF(515,203) = HCF(718,515) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 796 > 1, we apply the division lemma to 796 and 1, to get

796 = 1 x 796 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 796 is 1

Notice that 1 = HCF(796,1) .

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Frequently Asked Questions on HCF of 718, 515, 796 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 718, 515, 796?

Answer: HCF of 718, 515, 796 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 718, 515, 796 using Euclid's Algorithm?

Answer: For arbitrary numbers 718, 515, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.